Availability Theory for Multicomponent Systems

Abstract

A series system for which only failed components are replaced (or repaired) is considered. Nonfailed components are in a state-of-suspended animation while the system is down. The limiting average system up time is computed for arbitrary failure and repair distributions. The limiting distribution of system up time, the number of failures of component i (i = 1,2, ..., k) and the down time of component i (i = 1,2, ..., k) are calculated. The asymptotic distribution of the cost of repair is also derived.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1972
Accession Number
AD0744665

Entities

People

  • Frank Proschan
  • Richard E. Barlow

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Age Distribution
  • Air Force
  • Asymptotic Normality
  • Availability
  • California
  • Data Science
  • Engineering
  • Hypotheses
  • Industrial Engineering
  • Operations Research
  • Probability
  • Random Variables
  • Reliability
  • Reliability Engineering
  • Statistics
  • Stochastic Processes
  • Universities

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Inertial Navigation Systems.